Pith Number

pith:TR6ELUNV

pith:2011:TR6ELUNVXQNCU66MQ347PYGLTM

not attested not anchored not stored refs pending

A mass-decreasing flow in dimension three

Robert Haslhofer

arxiv:1107.3220 v2 · 2011-07-16 · math.DG · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TR6ELUNVXQNCU66MQ347PYGLTM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:08:12.352946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c7c45d1b5bc1a2a7bcc86f9f7e0cb9b3dde023a8f26de7b641120e39d621fef

Aliases

arxiv: 1107.3220 · arxiv_version: 1107.3220v2 · doi: 10.48550/arxiv.1107.3220 · pith_short_12: TR6ELUNVXQNC · pith_short_16: TR6ELUNVXQNCU66M · pith_short_8: TR6ELUNV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TR6ELUNVXQNCU66MQ347PYGLTM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9c7c45d1b5bc1a2a7bcc86f9f7e0cb9b3dde023a8f26de7b641120e39d621fef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61346cbcecb2b5e5f0f26708a1e1cc835a9b9c74c55f444ef997905219578bfe",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-16T11:24:58Z",
    "title_canon_sha256": "7477a54543c5e2ed48d9c5ede58acc65b4690fbd9a5d4fab67cf67144b79c395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3220",
    "kind": "arxiv",
    "version": 2
  }
}